Ukrainian President Volodymyr Zelenskyi could potentially face Russian representatives in the UN Security Council on Wednesday.
In that case, the meeting will be the first of its kind since Russia began its full-scale invasion of his country in February last year.
A meeting between Volodymyr Zelenskyy and Russian representatives will, if it happens, be the most direct diplomatic meeting between the countries since the beginning of the war.
On Tuesday, Volodymyr Zelenskyy gave a speech during the UN General Assembly meeting in New York and called on the rest of the world to stand united against Russia.
Late on Tuesday, Russian Foreign Minister Sergei Lavrov also arrived in New York. However, it is not known whether Lavrov, himself a former UN ambassador, will attend the Security Council session on Wednesday, which will be devoted to the war and where Zelensky will also speak.
Russia is a permanent member of the Security Council and as such can use its veto to block decisions.
The meeting is attended by top representatives of two other permanent member states, the US is sending Foreign Minister Antony Blinken and France is sending Foreign Minister Catherine Colonna.